Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Celestial amplitudes: conformal partial waves and soft limits

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [2];  [3]
  1. Univ. of Southampton (United Kingdom); Brown University
  2. Brown Univ., Providence, RI (United States)
  3. Columbia Univ., New York, NY (United States)
Massless scattering amplitudes in four-dimensional Minkowski spacetime can be Mellin-transformed to correlation functions on the celestial sphere at null infinity called celestial amplitudes. We study various properties of massless four-point scalar and gluon celestial amplitudes such as conformal partial wave decomposition, crossing relations and optical theorem. As a byproduct, we derive the analog of the single and double soft limits for all gluon celestial amplitudes.
Research Organization:
Brown Univ., Providence, RI (United States)
Sponsoring Organization:
European Research Council (ERC); USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Grant/Contract Number:
SC0010010; SC0011941
OSTI ID:
1594825
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2019; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English

References (25)

4D scattering amplitudes and asymptotic symmetries from 2D CFT journal January 2017
Conformally soft photons and gravitons journal January 2019
Conformal structure of massless scalar amplitudes beyond tree level journal April 2018
Double soft theorems in gauge and string theories journal July 2015
Double-soft limits of gluons and gravitons journal July 2015
A spacetime derivation of the Lorentzian OPE inversion formula journal July 2018
S-matrix singularities and CFT correlation functions journal August 2017
More on supersymmetric and 2d analogs of the SYK model journal August 2017
Analyticity in spin in conformal theories journal September 2017
Crossing symmetry in alpha space journal November 2017
A holographic reduction of Minkowski space–time journal August 2003
Conformal partial waves and the operator product expansion journal February 2004
Strings on celestial sphere journal October 2018
Conformal blocks for arbitrary spins in two dimensions journal November 2012
Tree-level gluon amplitudes on the celestial sphere journal June 2018
Symmetries of celestial amplitudes journal June 2019
Infrared Photons and Gravitons journal October 1965
Symmetries of Asymptotically Flat Four-Dimensional Spacetimes at Null Infinity Revisited journal September 2010
Conformal Blocks for Arbitrary Spins in Two Dimensions text January 2012
Double-Soft Limits of Gluons and Gravitons preprint January 2015
4D Scattering Amplitudes and Asymptotic Symmetries from 2D CFT text January 2016
Analyticity in Spin in Conformal Theories text January 2017
Tree-level gluon amplitudes on the celestial sphere text January 2017
Conformally Soft Photons and Gravitons text January 2018
Symmetries of Celestial Amplitudes text January 2018

Cited By (4)

Bootstrapping inflationary correlators in Mellin space journal February 2020
UV considerations on scattering amplitudes in a web of theories journal December 2019
Bootstrapping Inflationary Correlators in Mellin Space text January 2019
UV considerations on scattering amplitudes in a web of theories text January 2019

Similar Records

Goldstone bosons on celestial sphere and conformal soft theorems
Journal Article · Mon Dec 18 19:00:00 EST 2023 · Journal of High Energy Physics (Online) · OSTI ID:2576178

Relativistic partial waves for celestial amplitudes
Journal Article · Thu Nov 26 19:00:00 EST 2020 · Journal of High Energy Physics (Online) · OSTI ID:1851578